D-state effects in the 40Ca(d, t0), (d, 3He0) and (d, α0) reactions at Ed = 20 MeV

doi:10.1016/0370-2693(87)90428-X

Physics Letters B

Volume 183, Issue 2, 8 January 1987, Pages 144-148

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Abstract

Precise measurements of a complete set of analyzing powers for the (d, t₀), (d, ³He₀) and (d, α₀) reactions from ⁴⁰Ca at E_d = 20 MeV have been analyzed in finite range DWBA. Deuteron tensor potentials and D-state amplitudes in a cluster expansion of the light fragments are included. From the data in the transfer peak region we obtain $D_{2} (^{3} H) = −0.20 ± 0.04 fm^{2}, D_{2} (^{3} He) = 0.25 ± 0.05 fm^{2} and D_{2} (^{4} He) = −0.19 ± 0.04 fm^{2−}$

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Nuclear Data Sheets for A = 38
2008, Nuclear Data Sheets
Nuclear spectroscopic information for the known nuclides of mass 38 (Mg,Al,Si,P,S,Cl,Ar,K,Ca,Sc,Ti) has been evaluated. The principal sources of the ‘adopted levels’ presented are Endt's evaluations (1990En08, 1978En02). The data sets for reactions and decays, including all available gamma-ray data, are based mostly on the original literature. There are no data available for the excited states in ³⁸Mg, ³⁸Al and ³⁸P. Recent experiments have tried to identify ³⁸Ti nuclide but no events have been associated with this nuclide with a half-life limit of <125 ns deduced from limit on experimental cross section. This nuclide is likely to be particle unstable. No experiments have yet been reported for the identification of the ³⁸Sc nuclide which is also expected to be a prompt proton emitter.
Nuclear data sheets for A = 39
2006, Nuclear Data Sheets
Nuclear spectroscopic information for the known nuclides of mass 39 (Mg,Al,Si,P,S,Cl,Ar,K,Ca,Sc,Ti) has been evaluated. The principal sources of the ‘adopted levels’ presented are Endt's evaluations (1990En08, 1978En02). The data sets for reactions and decays, including all available gamma–ray data, are based mostly on the original literature. There are no data available for the excited states in ³⁹Mg, ³⁹Al, ³⁹Si and ³⁹Ti.
A determination of the asymptotic D- to S-state ratio for 3He
1991, Nuclear Physics, Section A
A determination of the asymptotic D-state to S-state ratio η for ³He has been made in order to provide a test for the models of the NN interaction. Measurements of differential cross sections and tensor analyzing powers for two states populated in the ³²S(d, ³He)³¹P reaction at E_d = 16 MeV and previous results for ³¹P(d, ³He)³⁰Si are compared to exact finite-range distorted-wave Born approximation calculations to determine $η(^{3} He) = −0.046 ± 0.005$ . The results are compared with recent theoretical predictions of η(³He) and values of η(t).
Energy levels of A = 21-44 nuclei (VII)
1990, Nuclear Physics, Section A
The experimentally determined properties of A = 21–44 nuclides are complied and evaluated with special emphasis on nuclear spectroscopy.
Separate tables for each of the nuclides reviewed present the available information about the following properties (in this order):
- •
  - excitation energies E_x,
- •
  - γ-ray branching ratios b(γ),
- •
  - γ-ray mixing ratios σ,
- •
  - lifetimes γ_m or widths Λ,
- •
  - neutron, proton, or α-particle resonances,
- •
  - partial widths,
- •
  - single-nucleon transfer reactions,
- •
  - beta-decay,
- •
  - arguments for spin and parity (J^π) and isospin (T) assignments.
For each nuclide a master table summarizing the “best” or adopted values for E_x, J^π; T and τ_m or Λ precedes the auxiliary tables listed above.
The review of each A-chain concludes with a discussion of isospin multiplets.
Figures are presented of the level schemes of all nuclei and, for each A-chain, an overview of the relative energies of the ground states and lowest analogue states of all nuclei in the chain.
New constraints on D-state contributions to the trinucleon wave functions
1989, Nuclear Physics, Section A
Cross-section and polarization data of the ⁴He(d, ³He)³H reaction measured at 5 energies have been analysed. The vertex constants for the neutron transfer G_n, the proton transfer G_p and the asymptotic normalization constant C_s², for the S-state of the ³H wave function have been determined. New constraints on the D- to S-state asymptotic normalization ratio η_t, and η³_He for the triton and ³He wave functions are obtained from the tensor analyzing powers. The method of the analytic extrapolation in the angular variable to the transfer poles was used. Implications of this method and its application are discussed. Criteria for the reliability of the results are presented. The result of the analysis is C_s² = 2.95 ±0.15, η_t = 0.050 ± 0.006 and η³_He = 0.035 ± 0.006. The ratio η_t/η³_He shows a significant deviation from unity suggesting a substantial isospin breaking effect.
The 40Ca(d, α)38K reaction at E<inf>d</inf> = 20 MeV
1988, Nuclear Physics, Section A
Precise measurements of cross sections and complete sets of analyzing powers for the ( $d, α$ ) reaction from ⁴⁰Ca to the ground state 3₁⁺ and excited states 1₁⁺, 1₂⁺, 2₂⁺ of ³⁸K at E_d = 20 MeV have been analyzed in a finite-range distorted-wave Born approximation, using full sd-shell-model wave functions and including a D-state amplitude for the deuteron clusters in the α-particle. Deuteron tensor potentials were included and the influence of two-step processes estimated. The results are compatible with the previous determination of $D_{2} (^{4} He) = − 0.19 ± 0.04 fm^{2}$ from the ground-state transition, which is found to be the most appropriate one for the determination of D-state effects.

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^☆: Supported in part by the BMFT.

⁴: We are indebted to H. Nann, H.M. Hofmann for providing us with results on the ³⁸K and the ³He wave function respectively, and to Jim Friar and Yasuo Aoki for useful discussions.

¹: Universität Tübingen, D-7400 Tübingen, Fed. Rep. Germny.

²: Universidade Lisboa, Lisbon, Portugal.

³: University of Birmingham, Birmingham B15 2TT, UK.

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Physics Letters B

Abstract

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Cited by (20)

Nuclear Data Sheets for A = 38

Nuclear data sheets for A = 39

A determination of the asymptotic D- to S-state ratio for <sup>3</sup>He

Energy levels of A = 21-44 nuclei (VII)

New constraints on D-state contributions to the trinucleon wave functions

The <sup>40</sup>Ca(d, α)<sup>38</sup>K reaction at E<inf>d</inf> = 20 MeV

D-state effects in the 40Ca(d, t0), (d, 3He0) and (d, α0) reactions at Ed = 20 MeV☆

Abstract

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D-state effects in the ⁴⁰Ca(d, t₀), (d, ³He₀) and (d, α₀) reactions at E_d = 20 MeV☆